[{((-1)/(3))^(2)}^(-2)]^(-1)

Simplify each of the following : [{((-1)/5)^(-2)}^2]^(-1)\ (ii) {(1/3)^(-2)-\ (1/2)^(-3)}-:(1/4)^(-2)

Simplify each of the following : (i) [{((-1)/5)^(-2)}^2]^(-1)\ (ii) {(1/3)^(-2)-\ (1/2)^(-3)}-:(1/4)^(-2)

The expression (2^(2)+1)/(2^(2)-1)+(3^(2)+1)/(3^(2)-1)+(4^(2)+1)/(4^(2)-1)+((2011)^(2)+1)/((2011)^(2)-1) lies in the interval

Let H_(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n) , then the sum to n terms of the series (1^(2))/(1^(3))+(1^(2)+2^(2))/(1^(3)+2^(3))+(1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ . . . , is

The greatest among the following numbers (3)^((1)/(3)), (2)^((1)/(2)), (1)^(1), (6)^((1)/(6)) is :

((1)/(2))^(-2) + ((1)/(3))^(-2) + ((1 )/(4))^(-2) = ?